ds_list_geometric_mean

Computes the geometric mean of values in a list.

The geometric mean of a data set \(\{a_1,a_2 , \ldots,a_n\}\) is given by:

$$\large \left(\prod_{i=1}^n a_i \right)^{1/n} = \sqrt[n]{a_1 a_2 \cdots a_n}$$

ds_list_geometric_mean(id)

Returns the geometric mean of the values in a given list.

COPY/// ds_list_geometric_mean(id)
//
//  Returns the geometric mean of the values in a given list.
//
//      id          list data structure, real
//
/// GMLscripts.com/license
{
    var n, geo, i;
    n = ds_list_size(argument0);
    geo = 1;

    for (i=0; i<n; i+=1) geo *= ds_list_find_value(argument0, i);

    return power(geo, 1/n);
}

Contributors: Quimp

Related: ds_list_add_list, ds_list_add_map, ds_list_cv, ds_list_flip, ds_list_geometric_mean, ds_list_load, ds_list_max, ds_list_mean, ds_list_median, ds_list_min, ds_list_pop_standard_deviation, ds_list_range, ds_list_save, ds_list_select_relative, ds_list_select_relative_wrap, ds_list_standard_deviation, ds_list_standard_score, ds_list_sum, ds_list_sum_squares, ds_list_variance, ds_list_vmr

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